How fast (in rpm) must a centrifuge rotate if a particle 6.0 cm from the axis of rotation is to experience an acceleration of 130000 g's

Answer 1

Ac = v^2/r = r omega^2
so
omega = sqrt (130,000/.06) radians/s

to get rpm from radians/sec

rev/min = omega in rad/s *(1 rev/2 pi rad)(60 s/min)